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Finding the Fourth Proportional to 613,889.68, 920,747.04 and 193,154.62

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Solution

The fourth proportional to 613,889.68, 920,747.04 and 193,154.62 is: 289,704.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,889.68 : 920,747.04 = 193,154.62 : x
  2. Step 2: Convert to fraction form
    613,889.68/920,747.04 = 193,154.62/x
  3. Step 3: Cross multiply
    613,889.68x = 920,747.04 × 193,154.62
  4. Step 4: Simplify right side
    613,889.68x = 177,846,544,627.33
  5. Step 5: Solve for x
    x = 177,846,544,627.33/613,889.68
  6. Step 6: Final answer
    x = 289,704.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.